133463978640 has 1120 divisors, whose sum is σ = 519922437120. Its totient is φ = 31729065984.

The previous prime is 133463978603. The next prime is 133463978693. The reversal of 133463978640 is 46879364331.

It is a happy number.

133463978640 is a `hidden beast` number, since 1 + 33 + 463 + 97 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1828273644 + ... + 1828273716.

Almost surely, 2^133463978640 is an apocalyptic number.

133463978640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133463978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259961218560).

133463978640 is an abundant number, since it is smaller than the sum of its proper divisors (386458458480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133463978640 is a wasteful number, since it uses less digits than its factorization.

133463978640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 133463978640 in words is "one hundred thirty-three billion, four hundred sixty-three million, nine hundred seventy-eight thousand, six hundred forty".